Latching chains in K-nearest-neighbor and modular small-world networks

References

• Abeles M. Local cortical circuits: An electrophysiological study. Springer, Berlin 1982
   Google Scholar
• Abeles M, Vaadia E, Bergman H, Prut Y, Haalman I, Slovin H. Dynamics of neuronal interactions in the frontal cortex of behaving monkeys. Concepts in Neuroscience 1993; 4: 131–158
   Google Scholar
• Amit DJ. Modeling Brain Function: The world of Attractor Neural Networks. Cambridge University Press, Cambridge 1989
   Google Scholar
• Bassett DS, Bullmore E. Small-world brain networks. The Neuroscientist 2006; 12: 512–523
   PubMed Web of Science ®Google Scholar
• Braitenberg V. Cell assemblies in the cerebral cortex. Theoretical Approaches to Complex Systems, R Heim, G Palm. Springer, Berlin Heidelberg 1978; 171–188
   Google Scholar
• Braitenberg V. Brain size and number of neurons: An exercise in synthetic neuroanatomy. Journal of Computational Neuroscience 2001; 10: 71–77
   PubMed Web of Science ®Google Scholar
• Derrida B. Distribution of the activities in a diluted neural network. Journal of Physics A: Mathematical and General 1999; 22: 2069–2080
   Google Scholar
• Devlin J, Gonnerman L, Andersen E, Seidenberg M. Category-specific semantic deficits in focal and widespread brain damage. A computational account. Journal of Cognitive Neuroscience 1998; 10: 77–94
   PubMed Web of Science ®Google Scholar
• Farooqui AA, Mitchell D, Thompson R, Duncan J. Hierarchical organization of cognition reflected in distributed frontoparietal activity. The Journal of Neuroscience 2012; 32: 17373C–17381C
   PubMed Web of Science ®Google Scholar
• Fulvi Mari C, Treves A. Modeling neocortical areas with a modular neural network. Biosystems 1998; 48: 47–55
   PubMed Web of Science ®Google Scholar
• Fuster JM, Bodner M, Kroger JK. Cross-modal and cross-temporal association in neurons of frontal cortex. Nature 2000; 405: 347–351
   PubMed Web of Science ®Google Scholar
• Guo D, Li C. Self-sustained irregular activity in 2-D small-world networks of excitatory and inhibitory neurons. IEEE Transactions on Neural Networks 2010; 21: 895–905
   PubMed Web of Science ®Google Scholar
• Hauser M, Chomsky N, Fitch WT. The language faculty: what is it, who has it, and how did it evolve?. Science 2002; 298: 1569–1579
   PubMed Web of Science ®Google Scholar
• Hebb DO. The organization of behavior: A neuropsychological theory. Wiley, New York 1949
   Google Scholar
• Hopfield JJ. Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences 1982; 79: 2554–2558
   PubMed Web of Science ®Google Scholar
• Ikegaya Y, Aaron G, Cossart R, Aronov D, Lampl I, Ferster D, Yuste R. Synfire chains and cortical songs: temporal modules of cortical activity. Science 2004; 304: 559–564
   PubMed Web of Science ®Google Scholar
• Kaiser M, Varier S. Evolution and development of brain networks: From caenorhabditis elegans to homo sapiens. Network: Computation in Neural Systems 2011; 22: 143–147
   PubMed Web of Science ®Google Scholar
• Kanter I. Potts-glass models of neural networks. Physical Review A 1988; 37: 2739–2742
   PubMed Web of Science ®Google Scholar
• Klampfl S, Maass W. Emergence of dynamic memory traces in cortical microcircuit models through stdp. The Journal of Neuroscience 2013; 33: 11515–11529
   PubMed Web of Science ®Google Scholar
• Klinshov V, Nekorkin V. Activity clusters in dynamical model of the working memory system. Network: Computation in Neural Systems 2008; 19: 119–135
   PubMed Web of Science ®Google Scholar
• Kropff E, Treves A. The storage capacity of potts models for semantic memory retrieval. Journal of Statistical Mechanics: Theory and Experiment 2005; 2005: P08010
   Web of Science ®Google Scholar
• Lansner A, Fransén E, Sandberg A. Cell assembly dynamics in detailed and abstract attractor models of cortical associative memory. Theory in Biosciences 2003; 122: 19–36
   Web of Science ®Google Scholar
• Luczak A, Barthó P, Marguet SL, Buzsáki G, Harris KD. Sequential structure of neocortical spontaneous activity in vivo. Proceedings of the National Academy of Sciences 2007; 104: 347–352
   PubMed Web of Science ®Google Scholar
• Mountcastle VB. Perceptual Neuroscience: The Cerebral Cortex. Harvard Univ. Press, Cambridge, MA 1998
   Google Scholar
• Müller-Linow M, Hilgetag CC, Hütt MT. Organization of excitable dynamics in hierarchical biological networks. PLoS Computational Biology 2008; 4: e1000190
   PubMed Web of Science ®Google Scholar
• Oshima H, Odagaki T. Storage capacity and retrieval time of small-world neural networks. Physical Review E 2007; 76: 036114
   Web of Science ®Google Scholar
• Otazu GH, Leibold C. A corticothalamic circuit model for sound identification in complex scenes. PLoS One 2011; 6: e24270
   PubMed Web of Science ®Google Scholar
• Peters A, Sethares C. Myelinated axons and the pyramidal cell modules in monkey primary visual cortex. The Journal of Comparative Neurology 1996; 365: 232–255
   PubMed Web of Science ®Google Scholar
• Prut Y, Vaadia E, Bergman H, Haalman I, Slovin H, Abeles. M. Spatiotemporal structure of cortical activity: Properties and behavioral relevance. Journal of Neurophysiology 1998; 79: 2857–2874
   PubMed Web of Science ®Google Scholar
• Pulvermüller F, Garagnani M, Wennekers T. Thinking in circuits: Toward neurobiological explanation in cognitive neuroscience. Biological Cybernetics., [epub ahead of print]. doi: 10.1007/s00422-014-0603-9
   Web of Science ®Google Scholar
• Pulvermüller F, Knoblauch A. Discrete combinatorial circuits emerging in neural networks: A mechanism for rules of grammar in the human brain?. Neural Networks 2009; 22: 161–172
   PubMed Web of Science ®Google Scholar
• Russo E, Namboodiri VM, Treves A, Kropff E. Free association transitions in models of cortical latching dynamics. New Journal of Physics 2008; 10: 015008
   Web of Science ®Google Scholar
• Russo E, Pirmoradian S, Treves A. Associative latching dynamics vs. Syntax. Advances in Cognitive Neurodynamics(II), R Wang, F Gu. Springer, Berlin 2010; 111–115
   Google Scholar
• Russo E, Treves A. Cortical free association dynamics: distinct phases of a latching network. Physical review. E, Statistical, Nonlinear, and Soft Matter Physics 2012; 85: 1–18
   Google Scholar
• Schyns P. A modular neural network model of concept acquisition. Cognitive Science 1991; 15: 461–508
   Web of Science ®Google Scholar
• Shmiel T, Drori R, Shmiel O, Ben-Shaul Y, Nadasdy Z, Shemesh M, Teicher M, Abeles M. Neurons of the cerebral cortex exhibit precise interspike timing in correspondence to behaviour. Proceedings of the National Academy of Sciences of the United States of America 2005; 102: 18655–18657
   PubMed Web of Science ®Google Scholar
• Sompolinsky H. Neural networks with nonlinear synapses and a static noise. Physical Review A 1986; 34: 2571–2574
   PubMed Web of Science ®Google Scholar
• Song S, Yao H, Treves A. A modular latching chain. Cognitive Neurodynamics 2014; 8: 37–46
   PubMed Web of Science ®Google Scholar
• Treves A. Frontal latching networks: A possible neural basis for infinite recursion. Cognitive Neuropsychology 2005; 22: 276–291
   PubMed Web of Science ®Google Scholar
• Watts DJ, Strogatz SH. Collective dynamics of ‘small-world’ networks. Science 1998; 286: 509–512
   Google Scholar
• Wennekers T, Garagnani M, Pulvermüller F. Language models based on hebbian cell assemblies. Journal of Physiology-Paris 2006; 100: 16–30
   PubMed Web of Science ®Google Scholar
• Wennekers T, Palm G. Syntactic sequencing in hebbian cell assemblies. Cognitive Neurodynamics 2009; 3: 429–441
   PubMed Web of Science ®Google Scholar
• Willshaw DJ, Buneman OP, Longuet-Higgins HC. Non-holographic associative memory. Nature 1969; 222: 960–962
   PubMed Web of Science ®Google Scholar